Some Generalizations of Mirzakhani's Recursion and Masur-Veech Volumes via Topological Recursions
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| Format: | Preprint |
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2023
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| _version_ | 1866914812139667456 |
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| author | Fuji, Hiroyuki Manabe, Masahide |
| author_facet | Fuji, Hiroyuki Manabe, Masahide |
| contents | Via Andersen-Borot-Orantin's geometric recursion, a twist of the topological recursion was proposed, and a recursion for the Masur-Veech polynomials was uncovered. The purpose of this article is to explore generalizations of Mirzakhani's recursion based on physical two-dimensional gravity models related to the Jackiw-Teitelboim gravity and to provide an introduction to various realizations of topological recursion. For generalized Mirzakhani's recursions involving a Masur-Veech type twist, we derive Virasoro constraints and cut-and-join equations, and also show some computations of generalized volumes for the physical two-dimensional gravity models. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2303_14154 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Some Generalizations of Mirzakhani's Recursion and Masur-Veech Volumes via Topological Recursions Fuji, Hiroyuki Manabe, Masahide Mathematical Physics High Energy Physics - Theory Algebraic Geometry Geometric Topology 81T45, 14D21, 14N10 (Primary) 32G15, 81T40, 58D29, 05A15 (Secondary) Via Andersen-Borot-Orantin's geometric recursion, a twist of the topological recursion was proposed, and a recursion for the Masur-Veech polynomials was uncovered. The purpose of this article is to explore generalizations of Mirzakhani's recursion based on physical two-dimensional gravity models related to the Jackiw-Teitelboim gravity and to provide an introduction to various realizations of topological recursion. For generalized Mirzakhani's recursions involving a Masur-Veech type twist, we derive Virasoro constraints and cut-and-join equations, and also show some computations of generalized volumes for the physical two-dimensional gravity models. |
| title | Some Generalizations of Mirzakhani's Recursion and Masur-Veech Volumes via Topological Recursions |
| topic | Mathematical Physics High Energy Physics - Theory Algebraic Geometry Geometric Topology 81T45, 14D21, 14N10 (Primary) 32G15, 81T40, 58D29, 05A15 (Secondary) |
| url | https://arxiv.org/abs/2303.14154 |